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Finding the Fourth Proportional to 2,632.79, 3,948.36 and 783.56

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Solution

The fourth proportional to 2,632.79, 3,948.36 and 783.56 is: 1,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.79 : 3,948.36 = 783.56 : x
  2. Step 2: Convert to fraction form
    2,632.79/3,948.36 = 783.56/x
  3. Step 3: Cross multiply
    2,632.79x = 3,948.36 × 783.56
  4. Step 4: Simplify right side
    2,632.79x = 3,093,776.96
  5. Step 5: Solve for x
    x = 3,093,776.96/2,632.79
  6. Step 6: Final answer
    x = 1,175.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.